Stochastic Transport Processes in Discrete Biological Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3642475116
Total Pages : 182 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Stochastic Transport Processes in Discrete Biological Systems by : Eckart Frehland

Download or read book Stochastic Transport Processes in Discrete Biological Systems written by Eckart Frehland and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are in part based on a course for advanced students in the applications of stochastic processes held in 1978 at the University of Konstanz. These notes contain the results of re cent studies on the stochastic description of ion transport through biological membranes. In particular, they serve as an introduction to an unified theory of fluctuations in complex biological transport systems. We emphasize that the subject of this volume is not to introduce the mathematics of stochastic processes but to present a field of theoretical biophysics in which stochastic methods are important. In the last years the study of membrane noise has become an important method in biophysics. Valuable information on the ion transport mechanisms in membranes can be obtained from noise analysis. A number of different processes such as the opening and closing of ion channels have been shown to be sources of the measured current or voltage fluctuations. Bio logical 'transport systems can be complex. For example, the transport process can be coupled to other processes such as chemical reactions and take place in discontinuous structures of molecular dimensions. Furthermore, since there are strong electric fields or high concentration gradients across biological membranes ion transport processes of biological relevance are mostly processes far from equilibrium. For these reasons the development of new theoretical concepts has been necessary. The concept of transport in discrete systems has turned out to be more appropriate than continuum models.

Stochastic Processes in Cell Biology

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Publisher : Springer Nature
ISBN 13 : 3030725154
Total Pages : 773 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Stochastic Processes in Cell Biology by : Paul C. Bressloff

Download or read book Stochastic Processes in Cell Biology written by Paul C. Bressloff and published by Springer Nature. This book was released on 2022-01-04 with total page 773 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the theory of continuous and discrete stochastic processes within the context of cell biology. In the second edition the material has been significantly expanded, particularly within the context of nonequilibrium and self-organizing systems. Given the amount of additional material, the book has been divided into two volumes, with volume I mainly covering molecular processes and volume II focusing on cellular processes. A wide range of biological topics are covered in the new edition, including stochastic ion channels and excitable systems, molecular motors, stochastic gene networks, genetic switches and oscillators, epigenetics, normal and anomalous diffusion in complex cellular environments, stochastically-gated diffusion, active intracellular transport, signal transduction, cell sensing, bacterial chemotaxis, intracellular pattern formation, cell polarization, cell mechanics, biological polymers and membranes, nuclear structure and dynamics, biological condensates, molecular aggregation and nucleation, cellular length control, cell mitosis, cell motility, cell adhesion, cytoneme-based morphogenesis, bacterial growth, and quorum sensing. The book also provides a pedagogical introduction to the theory of stochastic and nonequilibrium processes – Fokker Planck equations, stochastic differential equations, stochastic calculus, master equations and jump Markov processes, birth-death processes, Poisson processes, first passage time problems, stochastic hybrid systems, queuing and renewal theory, narrow capture and escape, extreme statistics, search processes and stochastic resetting, exclusion processes, WKB methods, large deviation theory, path integrals, martingales and branching processes, numerical methods, linear response theory, phase separation, fluctuation-dissipation theorems, age-structured models, and statistical field theory. This text is primarily aimed at graduate students and researchers working in mathematical biology, statistical and biological physicists, and applied mathematicians interested in stochastic modeling. Applied probabilists should also find it of interest. It provides significant background material in applied mathematics and statistical physics, and introduces concepts in stochastic and nonequilibrium processes via motivating biological applications. The book is highly illustrated and contains a large number of examples and exercises that further develop the models and ideas in the body of the text. It is based on a course that the author has taught at the University of Utah for many years.

Voltage-Sensitive Ion Channels

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Publisher : Springer Science & Business Media
ISBN 13 : 1402055250
Total Pages : 545 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Voltage-Sensitive Ion Channels by : H. Richard Leuchtag

Download or read book Voltage-Sensitive Ion Channels written by H. Richard Leuchtag and published by Springer Science & Business Media. This book was released on 2008-12-21 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Voltage-sensitive ion channels are macromolecules embedded in the membranes of nerve and muscle fibers of animals. Despite decades of intensive research under the traditional approach of gated structural pores, the relation between the structure of these molecules and their function remains enigmatic. This book examines physically oriented approaches not covered in other ion-channel books, and it develops a new physics-based approach to the problem of molecular excitability.

Stochastic Chemical Kinetics

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Publisher : Springer
ISBN 13 : 149390387X
Total Pages : 174 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Stochastic Chemical Kinetics by : Péter Érdi

Download or read book Stochastic Chemical Kinetics written by Péter Érdi and published by Springer. This book was released on 2014-05-06 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reviews the theory and simulation methods of stochastic kinetics by integrating historical and recent perspectives, presents applications, mostly in the context of systems biology and also in combustion theory. In recent years, due to the development in experimental techniques, such as optical imaging, single cell analysis, and fluorescence spectroscopy, biochemical kinetic data inside single living cells have increasingly been available. The emergence of systems biology brought renaissance in the application of stochastic kinetic methods.

Stochastic Methods in Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 3642465994
Total Pages : 238 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Stochastic Methods in Biology by : Motoo Kimura

Download or read book Stochastic Methods in Biology written by Motoo Kimura and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of probabilistic methods in the biological sciences has been so well established by now that mathematical biology is regarded by many as a distinct dis cipline with its own repertoire of techniques. The purpose of the Workshop on sto chastic methods in biology held at Nagoya University during the week of July 8-12, 1985, was to enable biologists and probabilists from Japan and the U. S. to discuss the latest developments in their respective fields and to exchange ideas on the ap plicability of the more recent developments in stochastic process theory to problems in biology. Eighteen papers were presented at the Workshop and have been grouped under the following headings: I. Population genetics (five papers) II. Measure valued diffusion processes related to population genetics (three papers) III. Neurophysiology (two papers) IV. Fluctuation in living cells (two papers) V. Mathematical methods related to other problems in biology, epidemiology, population dynamics, etc. (six papers) An important feature of the Workshop and one of the reasons for organizing it has been the fact that the theory of stochastic differential equations (SDE's) has found a rich source of new problems in the fields of population genetics and neuro biology. This is especially so for the relatively new and growing area of infinite dimensional, i. e. , measure-valued or distribution-valued SDE's. The papers in II and III and some of the papers in the remaining categories represent these areas.

Applications of Biophotonics and Nanobiomaterials in Biomedical Engineering

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Publisher : CRC Press
ISBN 13 : 149874849X
Total Pages : 511 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Applications of Biophotonics and Nanobiomaterials in Biomedical Engineering by : Mohammad E. Khosroshahi

Download or read book Applications of Biophotonics and Nanobiomaterials in Biomedical Engineering written by Mohammad E. Khosroshahi and published by CRC Press. This book was released on 2017-10-30 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a link between different disciplines of nanophysics, biophotonics, nanobiomaterials & applications of nanobiophotonics in biomedical research and engineering. The fundamentals of light, matter, nanobiomaterials & nanophysics are discussed together, and relevant applications in biomedical engineering as well as other related factors influencing the interaction process are explicated. Theoretical and experimental research is combined, emphasizing the influence of crucial common factors on applications.

Stochastic Processes in Epidemic Theory

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Publisher : Springer
ISBN 13 : 3662100673
Total Pages : 208 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Stochastic Processes in Epidemic Theory by : Jean-Pierre Gabriel

Download or read book Stochastic Processes in Epidemic Theory written by Jean-Pierre Gabriel and published by Springer. This book was released on 2014-03-11 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers gives a representative cross-selectional view of recent developments in the field. After a survey paper by C. Lefèvre, 17 other research papers look at stochastic modeling of epidemics, both from a theoretical and a statistical point of view. Some look more specifically at a particular disease such as AIDS, malaria, schistosomiasis and diabetes.

Current Topics in Membranes and Transport

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Publisher : Academic Press
ISBN 13 : 0080585086
Total Pages : 335 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Current Topics in Membranes and Transport by :

Download or read book Current Topics in Membranes and Transport written by and published by Academic Press. This book was released on 1991-01-18 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Current Topics in Membranes and Transport

Neuronal Noise

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Publisher : Springer Science & Business Media
ISBN 13 : 0387790209
Total Pages : 468 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Neuronal Noise by : Alain Destexhe

Download or read book Neuronal Noise written by Alain Destexhe and published by Springer Science & Business Media. This book was released on 2012-01-07 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neuronal Noise combines experimental, theoretical and computational results to show how noise is inherent to neuronal activity, and how noise can be important for neuronal computations. The book covers many aspects of noise in neurons, with an emphasis on the largest source of noise: synaptic noise. It provides students and young researchers with an overview of the important methods and concepts that have emerged from research in this area. It also provides the specialist with a summary of the large body of sometimes contrasting experimental data, and different theories proposed to explore the computational power that various forms of "noise" can confer to neurons.

Transient Processes in Cell Proliferation Kinetics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642487025
Total Pages : 224 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Transient Processes in Cell Proliferation Kinetics by : Andrej Yu. Yakovlev

Download or read book Transient Processes in Cell Proliferation Kinetics written by Andrej Yu. Yakovlev and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematician who has taken the romantic decision to devote himself to biology will doubtlessly look upon cell kinetics as the most simple and natural field of application for his knowledge and skills. Indeed, the thesaurus he is to master is not so complicated as, say, in molecular biology, the structural elements of the system, i. e. ceils, have been segregated by Nature itself, simple considerations of balance may be used for deducing basic equations, and numerous analogies in other areas of science also superficial add to one"s confidence. Generally speaking, this number of impression is correct, as evidenced by the very great theoretical studies on population kinetics, unmatched in other branches of mathematical biology. This, however, does not mean that mathematical theory of cell systems has traversed in its development a pathway free of difficulties or errors. The seeming ease of formalizing the phenomena of cell kinetics not infrequently led to the appearance of mathematical models lacking in adequacy or effectiveness from the viewpoint of applications. As in any other domain of science, mathematical theory of cell systems has its own intrinsic logic of development which, however, depends in large measure on the progress in experimental biology. Thus, during a fairly long period running into decades activities in that sphere were centered on devising its own specific approaches necessitated by new objectives in the experimental in vivo and in vitro investigation of cell population kinetics in different tissues.

Synergetics — From Microscopic to Macroscopic Order

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Publisher : Springer Science & Business Media
ISBN 13 : 364269540X
Total Pages : 265 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Synergetics — From Microscopic to Macroscopic Order by : E. Frehland

Download or read book Synergetics — From Microscopic to Macroscopic Order written by E. Frehland and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at the International Symposium on "Synergetics - From Microscopic to Macroscopic Order", held at the Wissenschafts kolleg z~ Berlin (Institute for Advanced Study Berlin), on July 4-8, 1983. Further more, it contains a contribution of T. Ohta, who unfortunately could not partici pate in this meeting, on the evolution of mUltigene families. The papers discuss the evolution and the function of ordered structures from small microscopic scales up to large macroscopic dimensions. On the one hand, these structures derive from physical or biological systems; on the other hand, they also affect economic, sociological and philosophical questions. I would like to thank the Wissenschaftskolleg zu Berlin for the extraordinary support and hospitality during my one year's stay there as a fellow, which made the planning, preparation and organization of this symposium possible. I would also like to acknowledge the work of B. Fritsch and D. Dorner who actively participated in this undertaking. I am grateful to Professor Haken, the founder of synergetics, whose participation in the planning and styling of the concept of the conference was essential. I am especially thankful to Mrs. U. Monigatti for her indefatigable help with the prep aration and organization of the conference. The financial support was provided by the "Deutsche Forschungsgemeinschaft". Berlin, November 1983 E. Frehland Contents Some Introductory Remarks on Synergetics By H. Haken ...

Lindenmayer Systems, Fractals, and Plants

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Publisher : Springer Science & Business Media
ISBN 13 : 1475714289
Total Pages : 127 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Lindenmayer Systems, Fractals, and Plants by : Przemyslaw Prusinkiewicz

Download or read book Lindenmayer Systems, Fractals, and Plants written by Przemyslaw Prusinkiewicz and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1-systems are a mathematical formalism which was proposed by Aristid 1indenmayer in 1968 as a foundation for an axiomatic theory of develop ment. The notion promptly attracted the attention of computer scientists, who investigated 1-systems from the viewpoint of formal language theory. This theoretical line of research was pursued very actively in the seventies, resulting in over one thousand publications. A different research direction was taken in 1984 by Alvy Ray Smith, who proposed 1-systems as a tool for synthesizing realistic images of plants and pointed out the relationship between 1-systems and the concept of fractals introduced by Benoit Mandel brot. The work by Smith inspired our studies of the application of 1-systems to computer graphics. Originally, we were interested in two problems: • Can 1-systems be used as a realistic model of plant species found in nature? • Can 1-systems be applied to generate images of a wide class of fractals? It turned out that both questions had affirmative answers. Subsequently we found that 1-systems could be applied to other areas, such as the generation of tilings, reproduction of a geometric art form from East India, and synthesis of musical scores based on an interpretation of fractals. This book collects our results related to the graphical applications of- systems. It is a corrected version of the notes which we prepared for the ACM SIGGRAPH '88 course on fractals.

Biological Motion

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Publisher : Springer Science & Business Media
ISBN 13 : 3642516645
Total Pages : 616 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Biological Motion by : Wolfgang Alt

Download or read book Biological Motion written by Wolfgang Alt and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: " . . . behavior is not, what an organism does itself, but to what we point. Therefore, whether a type of behavior of an organism is adequate as a certain configuration of movements, will depend on the environment in which we de scribe it. " (Humberto Maturana, Francisco Varela: El arbol del conocimiento, 1984) "A thorough analysis of behavior must result in a scheme, that shows all regularities that are to be found between the sensorical input and the motorical output of an animal. This scheme is an abstract representation of the brain. " (Valentin Braitenberg: Gehirngespinste, 1973) During the 70ies, when Biomathematics (beyond Biomedical Statistics and Com puting) became more popular at universities and research institutes, the problems dealt with came mainly from the general fields of 'Population Biology' and 'Complex Systems Analysis' such as epidemics, ecosystems analysis, morphogenesis, genetics, immunology and neurology (see the first series of Springer Lecture Notes in Biomathematics). Since then, the picture has not considerably changed, and it seems that "a thorough analysis of behavior" of single organisms and, moreover, of their mutual interactions, is far from being understood. On the contrary, mathematical modellers and analysts have been well advised to restrict their investigations to specific aspects of 'biological behavior', one of which is 'biological motion'. Until now, only a few Conference Proceedings or Lecture Notes have paid attention to this important aspect, some of the earlier examples being Vol. 24: 'The measurement of biological shape and shape changes' (1978) or Vol.

Current Catalog

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Publisher :
ISBN 13 :
Total Pages : 578 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Current Catalog by : National Library of Medicine (U.S.)

Download or read book Current Catalog written by National Library of Medicine (U.S.) and published by . This book was released on with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: First multi-year cumulation covers six years: 1965-70.

Mathematical Topics in Population Biology, Morphogenesis and Neurosciences

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Publisher : Springer Science & Business Media
ISBN 13 : 3642933602
Total Pages : 359 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Mathematical Topics in Population Biology, Morphogenesis and Neurosciences by : Ei Teramoto

Download or read book Mathematical Topics in Population Biology, Morphogenesis and Neurosciences written by Ei Teramoto and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents the edited proceedings of the International Symposium on Mathematical Biology held in Kyoto, November 10-15, 1985. The symposium was or ganized by an international committee whose members are: E. Teramoto, M. Yamaguti, S. Amari, S.A. Levin, H. Matsuda, A. Okubo, L.M. Ricciardi, R. Rosen, and L.A. Segel. The symposium included technical sessions with a total of 11 invited papers, 49 contributed papers and a poster session where 40 papers were displayed. These Proceedings consist of selected papers from this symposium. This symposium was the second Kyoto meeting on mathematical topics in biology. The first was held in conjunction with the Sixth International Biophysics Congress in 1978. Since then this field of science has grown enormously, and the number of scientists in the field has rapidly increased. This is also the case in Japan. About 80 young japanese scientists and graduate students participated this time. . The sessions were divided into 4 ; , categories: 1) Mathematical Ecology and Population Biology, 2) Mathematical Theory of Developmental Biology and Morphogenesis, 3) Theoretical Neurosciences, and 4) Cell Kinetics and Other Topics. In every session, there were stimulating and active discussions among the participants. We are convinced that the symposium was highly successful in transmitting scientific information across disciplines and in establishing fruitful contacts among the participants. We owe this success to the cooperation of all participants.

Gonorrhea Transmission Dynamics and Control

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Publisher : Springer
ISBN 13 : 366207544X
Total Pages : 116 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Gonorrhea Transmission Dynamics and Control by : H. W. Hethcote

Download or read book Gonorrhea Transmission Dynamics and Control written by H. W. Hethcote and published by Springer. This book was released on 2014-03-11 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Ecology

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Publisher : Springer Science & Business Media
ISBN 13 : 3642874223
Total Pages : 526 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Mathematical Ecology by : S.A. Levin

Download or read book Mathematical Ecology written by S.A. Levin and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: